BlueDragon2010 wrote:A factory that employs 1,000 assembly-line workers pays each of these workers $5 per hour for the first 40 hours worked during a week and 1.5 times that rate for hours worked in excess of 40. What was the total payroll for the assembly-line workers for a week in which 30 percent of them worked 20 hours, 50 percent worked 40 hours and the rest worked 50 hours?
A) $180,000
B) $185,000
C) $190,000
D) $200,000
E) $205,000
WEEKLY SALARIES
Worker who worked 20 hours: Salary = (20)(5) =
$100
Worker who worked 40 hours: Salary = (40)(5) =
$200
Worker who worked 50 hours: Salary = (40)(5) + (10)(7.5) =
$275
30 percent of them worked 20 hours,...
So, 300 workers worked 20 hours.
TOTAL salary for them = (300)(
$100) =
$30,000
50 percent worked 40 hours....
So, 500 workers worked 40 hours.
TOTAL salary for them = (500)(
$200) =
$100,000
... the rest worked 50 hours
There are 200 employees remaining.
TOTAL salary for them = (200)(
$275) =
$55,000
TOTAL PAYROLL =
$30,000 +
$100,000 +
$55,000 = [spoiler]$185,000 = B[/spoiler]
Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
